Home / 311-505.50

Finding the Third Proportional to 311 and 505.50

Calculator

Solution

The third proportional to 311 and 505.50 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 505.50 = 505.50 : x
  2. Step 2: Convert to fraction form
    311/505.50 = 505.50/x
  3. Step 3: Cross multiply
    311x = 505.50 × 505.50
  4. Step 4: Simplify right side
    311x = 255,530.25
  5. Step 5: Solve for x
    x = 255,530.25/311
  6. Step 6: Final answer
    x = 821.64

Related Problems

Find third proportional to 155.50 and 252.75
Half scale
Find third proportional to 622 and 1,011
Double scale
Find third proportional to 313 and 509
Similar ratio
Find third proportional to 466.50 and 758.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.